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Finding the Fourth Proportional to 98,998.37, 148,386 and 49,114.22

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Solution

The fourth proportional to 98,998.37, 148,386 and 49,114.22 is: 73,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,998.37 : 148,386 = 49,114.22 : x
  2. Step 2: Convert to fraction form
    98,998.37/148,386 = 49,114.22/x
  3. Step 3: Cross multiply
    98,998.37x = 148,386 × 49,114.22
  4. Step 4: Simplify right side
    98,998.37x = 7,287,862,648.92
  5. Step 5: Solve for x
    x = 7,287,862,648.92/98,998.37
  6. Step 6: Final answer
    x = 73,615.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.